First, we consider the microscopic tight binding model proposed in Ref. [1]}, in which
\(t(d) & = V_{pp\pi }^0 e^{- \frac{|d| - a_0}{\delta }} \left[ 1 - \left( \frac{d \cdot \hat{z}}{|d|} \right)^2 \right] + V_{pp\sigma }^0 e^{- \frac{|d| - d_0}{\delta }} \left( \frac{d \cdot \hat{z}}{|d|} \right)^2\) 
